Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 1595851355] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3340 geometric_solution 6.48597116 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 0132 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698752904241 0.552164675751 0 0 3 4 0132 0213 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029035112453 0.580184192723 4 0 3 5 0213 0132 3201 0132 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244399645212 0.823173720887 2 1 0 6 2310 3201 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801882331535 1.012766152557 2 6 1 5 0213 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088155210864 0.840879844711 6 6 2 4 0213 3120 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.135410533329 1.442202027037 5 5 3 4 0213 3120 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436657629089 0.890037351286 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_1001_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2111966/59465*c_1001_0^13 - 22150666/59465*c_1001_0^12 - 16750081/11893*c_1001_0^11 - 113860044/59465*c_1001_0^10 + 13526323/11893*c_1001_0^9 + 320069158/59465*c_1001_0^8 + 31418942/11893*c_1001_0^7 - 39878833/8495*c_1001_0^6 - 266514362/59465*c_1001_0^5 + 143497936/59465*c_1001_0^4 + 232927159/59465*c_1001_0^3 + 18674748/59465*c_1001_0^2 - 69248013/59465*c_1001_0 - 21031406/59465, c_0011_0 - 1, c_0011_3 + 4889/3398*c_1001_0^13 + 25732/1699*c_1001_0^12 + 195983/3398*c_1001_0^11 + 271811/3398*c_1001_0^10 - 72874/1699*c_1001_0^9 - 374259/1699*c_1001_0^8 - 195253/1699*c_1001_0^7 + 320405/1699*c_1001_0^6 + 320355/1699*c_1001_0^5 - 160014/1699*c_1001_0^4 - 277380/1699*c_1001_0^3 - 56173/3398*c_1001_0^2 + 161671/3398*c_1001_0 + 52623/3398, c_0011_4 + 1287/1699*c_1001_0^13 + 13721/1699*c_1001_0^12 + 53004/1699*c_1001_0^11 + 75254/1699*c_1001_0^10 - 36457/1699*c_1001_0^9 - 202837/1699*c_1001_0^8 - 109520/1699*c_1001_0^7 + 171416/1699*c_1001_0^6 + 175008/1699*c_1001_0^5 - 85386/1699*c_1001_0^4 - 151463/1699*c_1001_0^3 - 15697/1699*c_1001_0^2 + 41891/1699*c_1001_0 + 14089/1699, c_0011_6 - 1747/1699*c_1001_0^13 - 18575/1699*c_1001_0^12 - 71220/1699*c_1001_0^11 - 98418/1699*c_1001_0^10 + 57197/1699*c_1001_0^9 + 277108/1699*c_1001_0^8 + 132975/1699*c_1001_0^7 - 247465/1699*c_1001_0^6 - 225009/1699*c_1001_0^5 + 133164/1699*c_1001_0^4 + 195834/1699*c_1001_0^3 + 7425/1699*c_1001_0^2 - 56267/1699*c_1001_0 - 15563/1699, c_0101_1 - 8821/3398*c_1001_0^13 - 46123/1699*c_1001_0^12 - 346933/3398*c_1001_0^11 - 464967/3398*c_1001_0^10 + 147332/1699*c_1001_0^9 + 660536/1699*c_1001_0^8 + 306615/1699*c_1001_0^7 - 584615/1699*c_1001_0^6 - 533560/1699*c_1001_0^5 + 305664/1699*c_1001_0^4 + 469847/1699*c_1001_0^3 + 63383/3398*c_1001_0^2 - 277729/3398*c_1001_0 - 86231/3398, c_0110_5 + 2018/1699*c_1001_0^13 + 21117/1699*c_1001_0^12 + 79573/1699*c_1001_0^11 + 107204/1699*c_1001_0^10 - 66904/1699*c_1001_0^9 - 305576/1699*c_1001_0^8 - 145408/1699*c_1001_0^7 + 271359/1699*c_1001_0^6 + 254359/1699*c_1001_0^5 - 140399/1699*c_1001_0^4 - 223677/1699*c_1001_0^3 - 16321/1699*c_1001_0^2 + 67307/1699*c_1001_0 + 21063/1699, c_1001_0^14 + 11*c_1001_0^13 + 45*c_1001_0^12 + 74*c_1001_0^11 - 5*c_1001_0^10 - 168*c_1001_0^9 - 150*c_1001_0^8 + 96*c_1001_0^7 + 192*c_1001_0^6 - 6*c_1001_0^5 - 144*c_1001_0^4 - 63*c_1001_0^3 + 28*c_1001_0^2 + 26*c_1001_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB